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Finding the Third Proportional to 254,327 and 393,183

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Solution

The third proportional to 254,327 and 393,183 is: 607,850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,327 : 393,183 = 393,183 : x
  2. Step 2: Convert to fraction form
    254,327/393,183 = 393,183/x
  3. Step 3: Cross multiply
    254,327x = 393,183 × 393,183
  4. Step 4: Simplify right side
    254,327x = 154,592,871,489
  5. Step 5: Solve for x
    x = 154,592,871,489/254,327
  6. Step 6: Final answer
    x = 607,850.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.